论文标题
里希特的本地极限定理，其完善和相关结果
Richter's local limit theorem,its refinement,and related results
论文作者
论文摘要
我们以精致的形式详细说明了Richter的局部限制定理的证明，并在该定理中确定其余项的稳定性，在基本分布的小扰动下（包括平滑）。我们还讨论了特征功能和拉普拉斯变换的相关定量界限。
We give a detailed exposition of the proof of Richter's local limit theorem in a refined form, and establish the stability of the remainder term in this theorem under small perturbations of the underlying distribution (including smoothing). We also discuss related quantitative bounds for characteristic functions and Laplace transforms.
